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Finding the Fourth Proportional to 197,132, 272,042.40 and 107,708

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Solution

The fourth proportional to 197,132, 272,042.40 and 107,708 is: 148,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,132 : 272,042.40 = 107,708 : x
  2. Step 2: Convert to fraction form
    197,132/272,042.40 = 107,708/x
  3. Step 3: Cross multiply
    197,132x = 272,042.40 × 107,708
  4. Step 4: Simplify right side
    197,132x = 29,301,142,819.20
  5. Step 5: Solve for x
    x = 29,301,142,819.20/197,132
  6. Step 6: Final answer
    x = 148,637.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.